5710400 has 84 divisors (see below), whose sum is σ = 14551152. Its totient is φ = 2204160.

The previous prime is 5710399. The next prime is 5710403. The reversal of 5710400 is 40175.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5710403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68759 + ... + 68841.

It is an arithmetic number, because the mean of its divisors is an integer number (173228).

Almost surely, 2^5710400 is an apocalyptic number.

5710400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275576).

5710400 is an abundant number, since it is smaller than the sum of its proper divisors (8840752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5710400 is a wasteful number, since it uses less digits than its factorization.

5710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 5710400 is about 2389.6443249990. The cubic root of 5710400 is about 178.7401742036.

Adding to 5710400 its reverse (40175), we get a palindrome (5750575).

The spelling of 5710400 in words is "five million, seven hundred ten thousand, four hundred".